Metric-minimizing surfaces revisited

Anton Petrunin, Stephan Stadler

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


A surface that does not admit a length nonincreasing deformation is called metric-minimizing. We show that metric-minimizing surfaces in CAT.0/ spaces are locally CAT.0/ with respect to their length metrics.

Original languageEnglish (US)
Pages (from-to)3111-3139
Number of pages29
JournalGeometry and Topology
Issue number6
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


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